A spin system is known to be in an Eigen state of S n with
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A spin ½ system is known to be in an Eigen state of S ∙ n with Eigen value h/2, where n is a unit vector lying in the xz-plane that makes an angle γ with the positive z-axis.
a. Suppose Sx is measured. What is the probability of getting + h/2?
b. Evaluate the dispersion in Sx, that is, < (Sx - x >)2>. For your own peace of mind check your answers for the special cases γ = 0, π/2, and π).
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costy2 Here S and jf cosy2 siny2 siny2 is easily seen that the eigenke...View the full answer
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